Zobrazeno 1 - 10 of 22 pro vyhledávání: '"field theory: Liouville"'
1
The semiclassical limit of Liouville conformal field theory
Autor: Lacoin, Hubert, Rhodes, Rémi, Vargas, Vincent
Publikováno v: Annales de la Faculté des Sciences de Toulouse. Mathématiques.
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc In press
Annales de la Faculté des Sciences de Toulouse. Mathématiques., In press
International audience; A rigorous probabilistic construction of Liouville conformal field theory (LCFT) on the Riemann sphere was recently given by David-Kupiainen and the last two authors. In this paper, we focus on the connection between LCFT and
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5c52419a7011a2f456efe4a7831af33
https://hal.archives-ouvertes.fr/hal-02114667/file/LD_last.pdf
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2
Liouville perturbation theory for Laughlin state and Coulomb gas
Autor: Semyon Klevtsov, Nikita Nemkov
Publikováno v: J.Phys.A
J.Phys.A, 2021, 54 (33), pp.335204. ⟨10.1088/1751-8121/ac1483⟩
We consider the generating functional (logarithm of the normalization factor) of the Laughlin state on a sphere, in the limit of a large number of particles $N$. The problem is reformulated in terms of a perturbative expansion of a 2d QFT, resembling
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a280e10e7a723c05ef5082299aa0ea3d
https://hal.archives-ouvertes.fr/hal-03070630
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3
Near conformal perturbation theory in SYK type models
Autor: Sumit R. Das, Kenta Suzuki, Antal Jevicki, Animik Ghosh
Publikováno v: Journal of High Energy Physics
JHEP
JHEP, 2020, 12, pp.171. ⟨10.1007/JHEP12(2020)171⟩
Journal of High Energy Physics, Vol 2020, Iss 12, Pp 1-48 (2020)
We present a systematic procedure to extract the dynamics of the low energy soft mode in SYK type models with a single energy scale $J$ and emergent reparametrization symmetry in the IR. This is given in the framework of the perturbation theory schem
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34ec3479cfafdf6eaf058626d4283dfb
http://repo.scoap3.org/api
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4
The distribution of Gaussian multiplicative chaos on the unit interval
Autor: Tunan Zhu, Guillaume Remy
Publikováno v: Annals Probab.
Annals Probab., 2020, 48 (2), pp.872-915. ⟨10.1214/19-AOP1377⟩
Ann. Probab. 48, no. 2 (2020), 872-915
We consider a sub-critical Gaussian multiplicative chaos (GMC) measure defined on the unit interval [0,1] and prove an exact formula for the fractional moments of the total mass of this measure. Our formula includes the case where log-singularities (
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ee72fe3087f875ae0f5e3ee3fa4fe225
https://doi.org/10.1214/19-aop1377
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5
Integrability of boundary Liouville conformal field theory
Autor: Guillaume Remy, Tunan Zhu
Liouville conformal field theory (LCFT) is considered on a simply connected domain with boundary, specializing to the case where the Liouville potential is integrated only over the boundary of the domain. We work in the probabilistic framework of bou
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae8b0deaa75dbde12c8c43e2d43d5cde
http://arxiv.org/abs/2002.05625
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6
Higher order BPZ equations for Liouville conformal field theory
Autor: Zhu, Tunan
Inspired by some intrinsic relations between Coulomb gas integrals and Gaussian multiplicative chaos, this article introduces a general mechanism to prove BPZ equations of order $(r,1)$ and $(1,r)$ in the setting of probabilistic Liouville conformal
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::492f5d8094f9effcbc12a69cc44df9bb
http://arxiv.org/abs/2001.08476
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7
The Fyodorov–Bouchaud formula and Liouville conformal field theory
Autor: Guillaume Remy
Publikováno v: Duke Math.J.
Duke Math.J., 2020, 169 (1), pp.177-211. ⟨10.1215/00127094-2019-0045⟩
Duke Math. J. 169, no. 1 (2020), 177-211
In a remarkable paper in 2008, Fyodorov and Bouchaud conjectured an exact formula for the density of the total mass of (sub-critical) Gaussian multiplicative chaos (GMC) associated to the Gaussian free field (GFF) on the unit circle. In this paper we
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42c73cdbfb8c1f73b7ff8303956932c3
https://doi.org/10.1215/00127094-2019-0045
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8
A probabilistic approach of Liouville field theory
Autor: Rémi Rhodes, Vincent Vargas
Publikováno v: Comptes Rendus Physique
Comptes Rendus Physique, 2020, 21 (6), pp.561-569. ⟨10.5802/crphys.43⟩
International audience; In this article, we present the Liouville field theory, which was introduced in the eighties in physics by Polyakov as a model for fluctuating metrics in 2D quantum gravity, and outline recent mathematical progress in its stud
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2db84d5813dfe4cb39b88b37be0b4d62
https://hal.archives-ouvertes.fr/hal-03150550
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9
Logarithmic CFT at generic central charge: from Liouville theory to the $Q$-state Potts model
Autor: Rongvoram Nivesvivat, Sylvain Ribault
Publikováno v: SciPost Physics
SciPost Physics, 2021, 10 (1), pp.021. ⟨10.21468/SciPostPhys.10.1.021⟩
SciPost Physics, Vol 10, Iss 1, p 021 (2021)
SciPost Physics, SciPost Foundation, 2021, 10 (1), pp.021. ⟨10.21468/SciPostPhys.10.1.021⟩
Using derivatives of primary fields (null or not) with respect to the conformal dimension, we build infinite families of non-trivial logarithmic representations of the conformal algebra at generic central charge, with Jordan blocks of dimension $2$ o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b39347b8b01de46ad3cd4544f49a007
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10
Geometrical four-point functions in the two-dimensional critical $Q$-state Potts model: The interchiral conformal bootstrap
Autor: Yifei He, Jesper Lykke Jacobsen, Hubert Saleur
Publikováno v: Journal of High Energy Physics, Vol 2020, Iss 12, Pp 1-60 (2020)
Journal of High Energy Physics
Journal of High Energy Physics, Springer, 2020, 12, pp.019. ⟨10.1007/JHEP12(2020)019⟩
Journal of High Energy Physics, 2020, 2020 (12), pp.019. ⟨10.1007/JHEP12(2020)019⟩
JHEP
Based on the spectrum identified in our earlier work [arXiv:1809.02191], we numerically solve the bootstrap to determine four-point correlation functions of the geometrical connectivities in the $Q$-state Potts model. Crucial in our approach is the e
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9ecb8597dc54205d5db0b1cfc1e13b7
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